% totalcount = 8388608, domaincount = 5.24053e+06, interception rate = 62.5%
a = [
-4.900000e-01 3.515899e-01
-4.700000e-01 3.566682e-01
-4.500000e-01 3.603160e-01
-4.300000e-01 3.647447e-01
-4.100000e-01 3.672004e-01
-3.900000e-01 3.707647e-01
-3.700000e-01 3.736198e-01
-3.500000e-01 3.737211e-01
-3.300000e-01 3.767550e-01
-3.100000e-01 3.816366e-01
-2.900000e-01 3.824770e-01
-2.700000e-01 3.816426e-01
-2.500000e-01 3.869057e-01
-2.300000e-01 3.901362e-01
-2.100000e-01 3.897846e-01
-1.900000e-01 3.922701e-01
-1.700000e-01 3.914893e-01
-1.500000e-01 3.963351e-01
-1.300000e-01 3.908634e-01
-1.100000e-01 3.962696e-01
-9.000000e-02 4.001439e-01
-7.000000e-02 3.991783e-01
-5.000000e-02 3.982842e-01
-3.000000e-02 3.980756e-01
-1.000000e-02 4.016101e-01
1.000000e-02 3.993452e-01
3.000000e-02 3.990710e-01
5.000000e-02 3.975630e-01
7.000000e-02 3.985345e-01
9.000000e-02 3.979743e-01
1.100000e-01 3.956914e-01
1.300000e-01 3.946662e-01
1.500000e-01 3.923893e-01
1.700000e-01 3.947556e-01
1.900000e-01 3.923893e-01
2.100000e-01 3.929138e-01
2.300000e-01 3.857017e-01
2.500000e-01 3.871560e-01
2.700000e-01 3.823757e-01
2.900000e-01 3.828108e-01
3.100000e-01 3.818572e-01
3.300000e-01 3.767610e-01
3.500000e-01 3.762603e-01
3.700000e-01 3.716648e-01
3.900000e-01 3.693759e-01
4.100000e-01 3.686368e-01
4.300000e-01 3.627896e-01
4.500000e-01 3.635347e-01
4.700000e-01 3.582060e-01
4.900000e-01 3.578186e-01
5.100000e-01 3.474176e-01
5.300000e-01 3.451228e-01
5.500000e-01 3.430724e-01
5.700000e-01 3.405273e-01
5.900000e-01 3.347516e-01
6.100000e-01 3.333986e-01
6.300000e-01 3.267229e-01
6.500000e-01 3.219068e-01
6.700000e-01 3.179014e-01
6.900000e-01 3.144026e-01
7.100000e-01 3.107667e-01
7.300000e-01 3.089309e-01
7.500000e-01 3.019750e-01
7.700000e-01 2.944350e-01
7.900000e-01 2.903998e-01
8.100000e-01 2.860606e-01
8.300000e-01 2.820373e-01
8.500000e-01 2.777755e-01
8.700000e-01 2.745092e-01
8.900000e-01 2.693176e-01
9.100000e-01 2.626836e-01
9.300000e-01 2.591252e-01
9.500000e-01 2.515972e-01
9.700000e-01 2.479911e-01
9.900000e-01 2.448440e-01
1.010000e+00 2.394855e-01
1.030000e+00 2.363205e-01
1.050000e+00 2.310455e-01
1.070000e+00 2.240360e-01
1.090000e+00 2.216399e-01
1.110000e+00 2.167046e-01
1.130000e+00 2.095342e-01
1.150000e+00 2.081931e-01
1.170000e+00 2.006352e-01
1.190000e+00 1.987934e-01
1.210000e+00 1.904607e-01
1.230000e+00 1.889229e-01
1.250000e+00 1.835287e-01
1.270000e+00 1.786113e-01
1.290000e+00 1.739979e-01
1.310000e+00 1.700044e-01
1.330000e+00 1.633823e-01
1.350000e+00 1.592338e-01
1.370000e+00 1.561940e-01
1.390000e+00 1.507998e-01
1.410000e+00 1.454771e-01
1.430000e+00 1.406252e-01
1.450000e+00 1.405537e-01
1.470000e+00 1.367390e-01
1.490000e+00 1.306593e-01
];

clf;
plot(a(:,1),a(:,2));
v = axis;
axis([-0.5 1.5 0 v(4)]);
xlabel('a'); ylabel('probability density of a');

